{
  "schema": "ml-prep/item@1",
  "item": {
    "id": "mit-18-01sc-f2010-final-foundations",
    "area": "mathematics",
    "topic": "calculus",
    "origin": "external",
    "title": "Single-variable calculus foundation check",
    "skills": [
      "limits-continuity",
      "single-variable-calculus",
      "taylor-approximation"
    ],
    "priority": "foundation",
    "difficulty": "easy",
    "estimated_minutes": 24,
    "prerequisites": [
      "polynomials"
    ],
    "source_id": "mit-18-01sc-f2010",
    "locator": {
      "document": "Final Exam",
      "label": "Questions 1(a), 3(b), 8(b), and 14(a,c)",
      "page_label": "problem PDF pp. 1, 3, 8, 14–15",
      "solution_pages": "1, 2, 6, 11–12"
    },
    "links": {
      "problem": "https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_final/",
      "solution": "https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_finalsol/"
    },
    "selection_note": "Uses official exam questions to check differentiation, a limit, definite integration, and Taylor approximation independently.",
    "answer_status": "official-solution"
  }
}